Prof. Rich Kozick

Fall, 1997

**Homework 2 **

**Date Assigned:** Friday, August 29, 1997

**Date Due:** Monday, September 1, 1997

**Reading:**
We will discuss Chapter 1 in the Kamen/Heck text next week.
Please read section 1.1, browse sections 1.2-1.4, and read section
1.5.

**Problems:**
Please work on the following problems for Monday.

- Consider the low-pass RC circuit filter that we discussed in
class, which is shown below.
[CIRCUIT DIAGRAM OMITTED IN HTML VERSION] - What is the formula for the ``complex frequency response'' ?
- What are the formulas for the magnitude and the phase of the frequency response?
- For the values
*R*=1.1 and*C*=0.22 considered in class, produce rough sketches of and versus . What is the ``gain'' of the circuit at low frequencies? - Use your formula for and the definition of
*cutoff frequency*to derive an expression for as a function of*R*and*C*. This is the expression that is required in order to*design*a filter (i.e., choose*R*and*C*) to achieve a specified cutoff frequency.

- Please answer the same questions for the RC circuit shown below.
What type of filter is this circuit (low pass, high pass, or band
pass)?
[CIRCUIT DIAGRAM OMITTED IN HTML VERSION]